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Finding the Fourth Proportional to 8,154.24, 12,235.20 and 8,023.20

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Solution

The fourth proportional to 8,154.24, 12,235.20 and 8,023.20 is: 12,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.24 : 12,235.20 = 8,023.20 : x
  2. Step 2: Convert to fraction form
    8,154.24/12,235.20 = 8,023.20/x
  3. Step 3: Cross multiply
    8,154.24x = 12,235.20 × 8,023.20
  4. Step 4: Simplify right side
    8,154.24x = 98,165,456.64
  5. Step 5: Solve for x
    x = 98,165,456.64/8,154.24
  6. Step 6: Final answer
    x = 12,038.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.